TY - JOUR
T1 - On the implementation of explicit two-step peer methods with Runge–Kutta stability
AU - Abdi, A.
AU - Hojjati, G.
AU - Jackiewicz, Z.
AU - Podhaisky, H.
AU - Sharifi, M.
N1 - Funding Information:
The work of the first author (A. Abdi) was supported by the Alexander von Humboldt Foundation .
Publisher Copyright:
© 2023 IMACS
PY - 2023/4
Y1 - 2023/4
N2 - Explicit general linear method of two-step peer-type of order 1 to 4 suitable for solving non-stiff ordinary differential equations are derived. Estimates of the local truncation error are derived with which a variable stepsize and variable order scheme is implemented. The new methods are compared in numerical experiments with ode45 from MATLAB.
AB - Explicit general linear method of two-step peer-type of order 1 to 4 suitable for solving non-stiff ordinary differential equations are derived. Estimates of the local truncation error are derived with which a variable stepsize and variable order scheme is implemented. The new methods are compared in numerical experiments with ode45 from MATLAB.
KW - Local error estimation
KW - Runge–Kutta stability
KW - Stepsize and order changing strategy
KW - Two-step peer methods
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U2 - 10.1016/j.apnum.2023.01.015
DO - 10.1016/j.apnum.2023.01.015
M3 - Article
AN - SCOPUS:85147333250
SN - 0168-9274
VL - 186
SP - 213
EP - 227
JO - Applied Numerical Mathematics
JF - Applied Numerical Mathematics
ER -